A354702 - cp's OEIS frontend

A354702 T(w,h) is an upper bound for the minimum number of grid points in a square grid covered by an arbitrarily positioned and rotated rectangle of width w and height h, where T(w,h) is a triangle read by rows.

n	a(n)
1	0
2	1
3	2
4	2
5	4
6	7
7	2
8	5
9	9
10	12
11	3
12	7
13	13
14	17
15	21
16	4
17	8
18	15
19	20
20	26
21	32
22	4
23	9
24	18
25	22
26	31
27	36
28	40
29	5
30	11
31	20
32	27
33	36
34	44
35	49
36	57
37	6
38	12
39	24
40	30
41	41
42	48
43	54
44	66
45	72
46	7
47	14
48	26
49	35
50	46
51	55
52	63
53	74
54	84
55	96
56	7
57	15
58	28
59	37
60	50
61	60
62	67
63	81
64	90
65	105
66	112
67	8
68	16
69	31
70	40
71	55
72	64
73	72
74	88
75	96
76	112
77	120
78	128

[0, 1, 2, 2, 4, 7, 2, 5, 9, 12, 3, 7, 13, 17, 21, 4, 8, 15, 20, 26, 32, 4, 9, 18, 22, 31, 36, 40, 5, 11, 20, 27, 36, 44, 49, 57, 6, 12, 24, 30, 41, 48, 54, 66, 72, 7, 14, 26, 35, 46, 55, 63, 74, 84, 96, 7, 15, 28, 37, 50, 60, 67, 81, 90, 105, 112, 8, 16, 31, 40, 55, 64, 72, 88, 96, 112, 120, 128]

cp's OEIS Frontend

A354702 T(w,h) is an upper bound for the minimum number of grid points in a square grid covered by an arbitrarily positioned and rotated rectangle of width w and height h, where T(w,h) is a triangle read by rows.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	2
5	4
6	7
7	2
8	5
9	9
10	12
11	3
12	7
13	13
14	17
15	21
16	4
17	8
18	15
19	20
20	26
21	32
22	4
23	9
24	18
25	22
26	31
27	36
28	40
29	5
30	11
31	20
32	27
33	36
34	44
35	49
36	57
37	6
38	12
39	24
40	30
41	41
42	48
43	54
44	66
45	72
46	7
47	14
48	26
49	35
50	46
51	55
52	63
53	74
54	84
55	96
56	7
57	15
58	28
59	37
60	50
61	60
62	67
63	81
64	90
65	105
66	112
67	8
68	16
69	31
70	40
71	55
72	64
73	72
74	88
75	96
76	112
77	120
78	128

n	a(n)
1	0
2	1
3	2
4	2
5	4
6	7
7	2
8	5
9	9
10	12
11	3
12	7
13	13
14	17
15	21
16	4
17	8
18	15
19	20
20	26
21	32
22	4
23	9
24	18
25	22
26	31
27	36
28	40
29	5
30	11
31	20
32	27
33	36
34	44
35	49
36	57
37	6
38	12
39	24
40	30
41	41
42	48
43	54
44	66
45	72
46	7
47	14
48	26
49	35
50	46
51	55
52	63
53	74
54	84
55	96
56	7
57	15
58	28
59	37
60	50
61	60
62	67
63	81
64	90
65	105
66	112
67	8
68	16
69	31
70	40
71	55
72	64
73	72
74	88
75	96
76	112
77	120
78	128

n	a(n)
1	0
2	1
3	2
4	2
5	4
6	7
7	2
8	5
9	9
10	12
11	3
12	7
13	13
14	17
15	21
16	4
17	8
18	15
19	20
20	26
21	32
22	4
23	9
24	18
25	22
26	31
27	36
28	40
29	5
30	11
31	20
32	27
33	36
34	44
35	49
36	57
37	6
38	12
39	24
40	30
41	41
42	48
43	54
44	66
45	72
46	7
47	14
48	26
49	35
50	46
51	55
52	63
53	74
54	84
55	96
56	7
57	15
58	28
59	37
60	50
61	60
62	67
63	81
64	90
65	105
66	112
67	8
68	16
69	31
70	40
71	55
72	64
73	72
74	88
75	96
76	112
77	120
78	128